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Rations - DS Q

by MI3 » Sun Jul 03, 2011 8:55 pm
Q. If Pool Y currently contains more water than Pool X, and if Pool X is currently filled to 2/7 of its capacity, what percent of the water currently in Pool Y needs to be transferred to Pool X if Pool X and Pool Y are to have equal volumes of water?
(1) If all the water currently in Pool Y were transferred to Pool X, Pool X would be filled to 6/7 of its capacity.
(2) Pool X has a capacity of 14,000 gallons.

IMO C, am I correct?
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by Anurag@Gurome » Sun Jul 03, 2011 9:26 pm
MI3 wrote:Q. If Pool Y currently contains more water than Pool X, and if Pool X is currently filled to 2/7 of its capacity, what percent of the water currently in Pool Y needs to be transferred to Pool X if Pool X and Pool Y are to have equal volumes of water?
(1) If all the water currently in Pool Y were transferred to Pool X, Pool X would be filled to 6/7 of its capacity.
(2) Pool X has a capacity of 14,000 gallons.
Statement 1: Amount of water in pool X = 2/7 of X's capacity
If all the water in pool Y is transferred to pool X, amount of water in pool X = 6/7 of X's capacity
Hence, amount of water in pool Y = (6/7 - 2/7) = 4/7 of X's capacity

Therefore, amount of water to be transferred from pool Y to pool X = (4/7 - 2/7)/2 = 1/7 of X's capacity.

Hence required percentage = (Water to be transferred/Water in pool Y)*100 = [(1/7 of X's capacity)/(4/7 of X's capacity)]*100 = 100/4 = 25

Sufficient

Statement 2: No information regarding pool Y.

Not sufficient

The correct answer is A.
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by amit2k9 » Mon Jul 04, 2011 1:04 am
tip: notice that percentage has been asked here and not an exact value. Thus one can assume any value for the volume and solve the numerical.

a taking x = 7 gallon capacity.

current volume = 2/7 * 7 = 2
expected volume = 6/7* 7 = 6 thus difference = 4 gallon required from y.

for equal volumes = x = y = 6. percentage to be transferred = 4/6 * 100 = 66.66%

b not mentioned anything about y here.no relative information provided. Not sufficient.

A it is.
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